Internal problem ID [12525]
Book: DIFFERENTIAL and INTEGRAL CALCULUS. VOL I. by N. PISKUNOV. MIR
PUBLISHERS, Moscow 1969.
Section: Chapter 8. Differential equations. Exercises page 595
Problem number: 155.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_y]]
\[ \boxed {y^{\prime \prime }-3 y^{\prime }=-6 x +2} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 16
dsolve(diff(y(x),x$2)-3*diff(y(x),x)=2-6*x,y(x), singsol=all)
\[ y \left (x \right ) = \frac {c_{1} {\mathrm e}^{3 x}}{3}+x^{2}+c_{2} \]
✓ Solution by Mathematica
Time used: 0.121 (sec). Leaf size: 22
DSolve[y''[x]-3*y'[x]==2-6*x,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to x^2+\frac {1}{3} c_1 e^{3 x}+c_2 \]